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Finding the Fourth Proportional to 495,739.80, 684,119.07 and 280,920.96

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Solution

The fourth proportional to 495,739.80, 684,119.07 and 280,920.96 is: 387,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,739.80 : 684,119.07 = 280,920.96 : x
  2. Step 2: Convert to fraction form
    495,739.80/684,119.07 = 280,920.96/x
  3. Step 3: Cross multiply
    495,739.80x = 684,119.07 × 280,920.96
  4. Step 4: Simplify right side
    495,739.80x = 192,183,385,898.71
  5. Step 5: Solve for x
    x = 192,183,385,898.71/495,739.80
  6. Step 6: Final answer
    x = 387,669.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.